Department of Mathematics
The University of Illinois at Urbana-Champaign

Office: 304 Altgeld Hall; (217) 265-6255
e-mail: ford126(AT)illinois(DOT)edu


Link to all of my papers

Curriculum Vita

Archive: Illinois number theory seminar 2012-2022

Illinois Number Theory Seminar 2022-23

Some slides/videos of talks

Toward a theory of prime detecting sieves , based on lectures given at IAS Priceton, Oxford, Northwestern and Stanford.

Toward a theory of prime detecting sieves, (Video) Seminar talk at IAS, Princeton, November 17, 2022.

The concentration of divisors. . Talk at "Balu Fest", Chennai, India. March 13, 2021.

Divisors of integers, permutations and polynomials. . Analytic and probabilistic number theory web seminar. December 3, 2020.

Prime gaps, probabilistic models, the interval sieve, Hardy-Littlewood conjectures and Siegel zeros , Number Theory Web Seminar, September 3, 2020.

Divisibility of the central binomial coefficient. Webinar in additive combinatorics, November 3, 2020.

CRM summer School, Probability in Number Theory, , Montreal, May 2018.
Talk 1 , Talk 2 , Talk 3 . Subject: Large gaps between primes and other sequences

Strongly diagonal behavior in Vinogradov's mean value theorem , talk given at Goettingen (July, 2012) and Oberwolfach (October, 2013).

Multiplicative structure of integers, shifted primes and arithmetic functions , Erdos 100 Conference, Budapest, July 2013.

New explicit constructions of RIP matrices and related problems , Lectures at Texas A&M University, Workshop "Greedy Algorithms in Banach Spaces and Compressed Sensing", July 20-22, 2011.

Distribution of integers with a divisor in a given interval , Lecture at Univ. Montreal, March 14, 2006. "Anatomy of Integers" workshop.

Lecture notes

  • Sieve methods
  • Anatomy of Integers and random permutations, Spring 2022.

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